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Finding the Third Proportional to 193,246 and 267,022

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Solution

The third proportional to 193,246 and 267,022 is: 368,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,246 : 267,022 = 267,022 : x
  2. Step 2: Convert to fraction form
    193,246/267,022 = 267,022/x
  3. Step 3: Cross multiply
    193,246x = 267,022 × 267,022
  4. Step 4: Simplify right side
    193,246x = 71,300,748,484
  5. Step 5: Solve for x
    x = 71,300,748,484/193,246
  6. Step 6: Final answer
    x = 368,963.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.